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Finding the Fourth Proportional to 259,717.70, 389,588.70 and 82,238.60

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Solution

The fourth proportional to 259,717.70, 389,588.70 and 82,238.60 is: 123,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,717.70 : 389,588.70 = 82,238.60 : x
  2. Step 2: Convert to fraction form
    259,717.70/389,588.70 = 82,238.60/x
  3. Step 3: Cross multiply
    259,717.70x = 389,588.70 × 82,238.60
  4. Step 4: Simplify right side
    259,717.70x = 32,039,229,263.82
  5. Step 5: Solve for x
    x = 32,039,229,263.82/259,717.70
  6. Step 6: Final answer
    x = 123,361.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.